Chapter 13.3, Problem 10CE

To determine

To find: The two conditionals of the theorem $13\text{-3}$ .

Answer to Problem 10CE

The two conditionals of the theorem $13\text{-3}$ are explained.

Explanation of Solution

Given information:

We are given bi-conditional of parallel theorem $13\text{-3}$ .

Calculation:

The bi-conditional of parallel theorem states that two non vertical lines are parallel if and only if their slopes are equal.

  $\left(1\right)$ If two non vertical lines are parallel, then their slopes are equal.

  $\left(2\right)$ If the slopes of two non vertical lines are equal, they are parallel.

Therefore, the two conditionals of the theorem $13\text{-3}$ are explained.